Atkin-Lehner |
2+ 3- 5+ 7+ 31- |
Signs for the Atkin-Lehner involutions |
Class |
97650x |
Isogeny class |
Conductor |
97650 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
Δ |
-107267762548800 = -1 · 26 · 38 · 52 · 73 · 313 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 7+ 0 1 -3 -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,6183,-463379] |
[a1,a2,a3,a4,a6] |
Generators |
[218:3239:1] |
Generators of the group modulo torsion |
j |
1434215474375/5885748288 |
j-invariant |
L |
4.2635338400298 |
L(r)(E,1)/r! |
Ω |
0.30122494615899 |
Real period |
R |
1.1794988768042 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000028405 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
32550bp2 97650ev2 |
Quadratic twists by: -3 5 |